Question

Determine a derivada da função f(x) = x^2.(1-2x)

Answer 1

$f(x)=x^2*(1-2x)\\\\f(x)=[x^2*1] +[x^2*(-2x)]\\\\f(x)=x^2-2x^3$

derivando
$f'(x)=2*x^{2-1} - 2*3x^{3-1}\\\\f'(x)=2x-6x^2$

simplificando colocando 2x em evidencia
$f'(x)=2x*(1-3x)$